This preliminary study examined whether distinct student profiles (N = 760) emerged based on their behavioral patterns in an online algebraic learning game. We applied k-means clustering analysis to clickstream data collected in the game and then examined how students' behavioral patterns varied across the clusters using data visualization. The…

COVID-19 contributed to the largest student performance decline in mathematics since 1990. The nation needs cost-effective mathematic interventions to address this drop and improve students' mathematics performance. This study presents a cost-effectiveness analysis (CEA) of three algebraic technological applications, across four conditions:…

Persistence is an important part of student success--both in and out of school. To enhance persistence, we first need to assess it accurately. Digital games can be used as vehicles for measuring and enhancing persistence. The purpose of this study is to test the effects of (a) game-level characteristics (i.e., game mechanics and conceptual…

We examined the influences of pre-solving pause time, algebraic knowledge, mathematics self-efficacy, and mathematics anxiety on middle-schoolers' strategy efficiency in an algebra learning game. We measured strategy efficiency using (a) the number of steps taken to complete a problem; (b) the proportion of problems completed on the initial…

Online educational games have been widely used to support students' mathematics learning. However, their effects largely depend on student-related factors, the most prominent being their behavioral characteristics as they play the games. In this study, we applied a set of learning analytics methods ("k"-means clustering, data…

This paper demonstrated how to apply Machine Learning (ML) techniques to analyze student interaction data collected in an online mathematics game. Using a data-driven approach, we examined: (1) how different ML algorithms influenced the precision of middle-school students' (N = 359) performance (i.e. posttest math knowledge scores) prediction; and…

Over three years, our research team has designed various learning supports for promoting content knowledge and solving game levels. In this case study, we examined the optimal design and the evaluation of learning support videos for a physics educational game. Often studies focus on investigating the effects of research-based principles without a…

Learning fractions is a critical step in children's mathematical development. However, many children struggle with learning fractions, especially fraction arithmetic. In this article, we propose a general framework for integrating understanding of individual fractions and fraction arithmetic, and we use the framework to generate interventions…

We investigated the effects of proximal grouping of numbers, problem-solving goals to make 100, and prior knowledge on students' solution strategies in an online mathematics game. Logistic regression on 857 problem-level data points from 227 middle-school students showed that students were more likely to use productive solution strategies on…

This paper demonstrates how to apply Machine Learning (ML) techniques to analyze student interaction data collected in an online mathematics game. We examined: (1) how different ML algorithms influenced the precision of middle-school students' (N = 359) performance prediction; and (2) what types of in-game features were associated with student…

Digital, educational games have many promises (e.g., increasing students' content knowledge as well as competencies like problem-solving, spatial skills, and persistence). However, there are challenges to overcome before using these games more broadly in educational settings. One challenge involves identifying effective, theoretically based…

Understanding equivalence is fundamental to STEM disciplines, yet misunderstandings and misconceptions inhibit students from fully appreciating or leveraging the concept. Using the game-based algebraic notation system, From Here to There! (FH2T), students explore ideas of equivalence by dynamically transforming expressions or equations among…

This study explores middle school student learning of Next Generation Science Standards aligned content and practices associated with use of an innovative virtual learning environment. The learning environment, a computer-based game called Mission HydroSci (MHS), was developed with the aim of supporting student learning of water systems science…

Mission HydroSci (MHS) is a 3D game-based learning environment and curriculum that supports middle school student learning of water systems science and scientific argumentation. MHS is a rigorous, coherent and engaging 6 to 8-day curriculum with all learning activities and social interactions taking place in the virtual world and with teachers…

Background: Middle school students use the information conveyed by morphemes (i.e., units of meaning such as prefixes, root words and suffixes) in different ways to support their literacy endeavours, suggesting the likelihood that morphological knowledge is multidimensional. This has important implications for assessment. Methods: The current…